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TECHNICAL PAPERS

Experimental Demonstration of Maximum Mistuned Bladed Disk Forced Response

[+] Author and Article Information
J. A. Kenyon

Air Force Research Laboratory, Propulsion Directorate, Wright-Patterson AFB, OH 45433   e-mail: james.kenyon@wpafb.af.mil

J. H. Griffin

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213e-mail: jg9h@andrew.cmu.edu

J. Turbomach 125(4), 673-681 (Dec 01, 2003) (9 pages) doi:10.1115/1.1624847 History: Received December 01, 2002; Revised March 01, 2003; Online December 01, 2003
Copyright © 2003 by ASME
Topics: Disks , Blades , Damping , Waves
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References

Whitehead,  D. S., 1966, “Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes,” J. Mech. Eng. Sci., 8, pp. 15–21.
Whitehead,  D. S., 1976, “Research Note: Effect of Mistuning on Forced Vibration of Blades With Mechanical Coupling,” J. Mech. Eng. Sci., 18, pp. 306–307.
Whitehead,  D. S., 1998, “The Maximum Factor by Which Forced Vibration of Blades Can Increase Due to Mistuning,” ASME J. Eng. Gas Turbines Power, 120, pp. 115–119.
Dye,  R. C. F., and Henry,  T. A., 1969, “Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies,” J. Eng. Power, 91, pp. 182–187.
Griffin,  J. H., and Hoosac,  T. M., 1984, “Model Development and Statistical Investigation of Turbine Blade Mistuning,” ASME J. Vibr. Acoust., 106, pp. 204–210.
Sinha,  A., 1986, “Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,” AIAA J., 24, pp. 1797–1801.
Sinha, A., 1997, “Computation of the Maximum Amplitude of a Mistuned Bladed Disk Assembly via Infinity Norm,” Proc. of the 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, Vol. AD-55, pp. 427–432.
Rivas-Guerra, A. J., and Mignolet, M. P., 2001, “Local/Global Effects of Mistuning on the Forced Response of Bladed Disks,” ASME Paper 2001-GT-0289, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Petrov, E. P., and Ewins, D. J., 2001, “Analysis of the Worst Mistuning Patterns in Bladed Disc Assemblies,” ASME Paper 2001-GT-0292, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Kenyon,  J. A., and Griffin,  J. H., 2003, “Forced Response of Turbine Engine Bladed Disks and Sensitivity to Harmonic Mistuning,” ASME J. Eng. Gas Turbines Power, 125, pp. 113–120.
MacBain,  J. C., and Whaley,  P. W., 1984, “Maximum Resonant Response of Mistuned Bladed Disks,” ASME J. Vibr. Acoust., 106, pp. 218–223.
Ewins,  D. J., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vib., 9, pp. 65–79.
Kenyon,  J. A., Griffin,  J. H., and Feiner,  D. M., 2003, “Maximum Bladed Disk Forced Response From Distortion of a Structural Mode,” ASME J. Turbomach., 125, pp. 352–363.
Stange,  W. A., and MacBain,  J. C., 1983, “An Investigation of Dual Mode Phenomena in a Mistuned Bladed Disk,” ASME J. Vibr. Acoust., 105, pp. 402–407.
Kenyon,  J. A., Cross,  C. J., and Minkiewicz,  G. R., 2000, “Mechanical Coupling Effects on Turbomachine Mistuned Response,” J. Propul. Power, 16, pp. 1149–1154.
Kruse, M. J., and Pierre, C., 1997, “An Experimental Investigation of Vibration Localization in Bladed Disks, Part I: Free Response,” ASME Paper 97-GT-501, International Gas Turbine Institute Turbo Expo, Orlando, FL.
Kruse, M. J., and Pierre, C., 1997, “An Experimental Investigation of Vibration Localization in Bladed Disks, Part II: Forced Response,” ASME Paper 97-GT-502, International Gas Turbine Institute Turbo Expo, Orlando, FL.
Judge,  J., Pierre,  C., and Mehmed,  O., 2001, “Experimental Investigation of Mode Localization and Forced Response Amplitude Magnification for a Mistuned Bladed Disk,” ASME J. Eng. Gas Turbines Power, 123, pp. 940–950.
Yang,  M.-T., and Griffin,  J. H., 1997, “A Normalized Eigenvalue Approach for Resolving Modal Interaction,” ASME J. Eng. Gas Turbines Power, 119, pp. 647–650.
Rao, S. S., 1995, Mechanical Vibrations, 3rd Ed., Addison-Wesley Publishing Company, New York, front cover.
Thomas,  D. L., 1979, “Dynamics of Rotationally Periodic Structures,” Int. J. Numer. Methods Eng., 14, pp. 81–102.
Jones,  K., and Cross,  C., 2003, “A Traveling Wave Excitation System for Bladed Disks,” J. Propul. Power, 19, pp. 135–141.
Kenyon, J. A., 2002, “Robust Maximum Forced Response in Mistuned Turbine Engine Bladed Disks,” Ph.D. thesis, Carnegie Mellon University, Pittsburgh.

Figures

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Lumped parameter model of bladed disk dynamics
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Finite element model of experimental bladed disk
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Experimental setup for measuring natural frequencies, damping, and mode shapes of the bladed disk
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Natural frequencies versus nodal diameters for the tuned bladed disk
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Nominally tuned cosine (113.7 Hz) and sine (114.3 Hz) mode shapes
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Optimum mode shape for maximum response
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Test setup for traveling wave forced response test
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Forced response of optimized bladed disk with maximum response
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Forced response of nominally tuned bladed disk
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Fit of experimental transfer functions to frequency splitting model of MacBain and Whaley 11
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Response distribution comparison between experimental results and MacBain and Whaley 11 model
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Variation of blade 1 response due to small random mistuning

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